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The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

计算机科学中的逻辑 · 计算机科学 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

We describe the methods used by Team Shadoks to win the CG:SHOP 2026 Challenge on parallel reconfiguration of planar triangulations. An instance is a collection of triangulations of a common point set. We must select a center triangulation…

计算几何 · 计算机科学 2026-03-24 Guilherme D. da Fonseca , Fabien Feschet , Yan Gerard

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

人工智能 · 计算机科学 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

Propositional model counting, or #SAT, is the problem of computing the number of satisfying assignments of a Boolean formula. Many problems from different application areas, including many discrete probabilistic inference problems, can be…

Planning under uncertainty is critical for robust robot performance in uncertain, dynamic environments, but it incurs high computational cost. State-of-the-art online search algorithms, such as DESPOT, have vastly improved the computational…

人工智能 · 计算机科学 2018-02-20 Panpan Cai , Yuanfu Luo , David Hsu , Wee Sun Lee

Dedicated treatment of symmetries in satisfiability problems (SAT) is indispensable for solving various classes of instances arising in practice. However, the exploitation of symmetries usually takes a black box approach. Typically,…

数据结构与算法 · 计算机科学 2024-01-02 Markus Anders , Pascal Schweitzer , Mate Soos

Boolean satisfiability (SAT) problems are routinely solved by SAT solvers in real-life applications, yet solving time can vary drastically between solvers for the same instance. This has motivated research into machine learning models that…

The advent of efficient interior point optimization methods has enabled the tractable solution of large-scale linear and nonlinear programming (NLP) problems. A prominent example of such a method is seen in Ipopt, a widely-used, open-source…

最优化与控制 · 数学 2019-09-19 Byron Tasseff , Carleton Coffrin , Andreas Wächter , Carl Laird

Discretizations of infinite-dimensional variational inequalities lead to linear and nonlinear complementarity problems with many degrees of freedom. To solve these problems in a parallel computing environment, we propose two active-set…

最优化与控制 · 数学 2007-05-23 Steven J. Benson , Todd S. Munson

Boolean satisfiability (SAT) solvers are widely used in hardware verification, cryptanalysis, automatic test-pattern generation, and side-channel reasoning workflows. Modern conflict-driven clause-learning (CDCL) solvers are highly…

密码学与安全 · 计算机科学 2026-05-06 Melki Bino

This paper introduces SATFuL, a SAT solver for fuzzy logics. In contrast to the Boolean case, for which numerous SAT solvers exist, the SAT problem for fuzzy logics has attracted less attention, even though these tools have interesting…

计算机科学中的逻辑 · 计算机科学 2026-04-20 Pablo F. Castro

In computational complexity theory, a decision problem is NP-complete when it is both in NP and NP-hard. Although a solution to a NP-complete can be verified quickly, there is no known algorithm to solve it in polynomial time. There exists…

计算复杂性 · 计算机科学 2018-03-28 Wenxia Guo , Jin Wang , Majun He , Xiaoqin Ren , Wenhong Tian , Qingxian Wang

This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topology optimization. The solver incorporates an interpolation…

数值分析 · 数学 2025-01-14 Yingjie Zhou , Changqing Ye , Yucheng Liu , Shubin Fu , Eric T. Chung

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

人工智能 · 计算机科学 2007-12-10 Joao Marques-Silva , Jordi Planes

We consider semidefinite programming (SDP) approaches for solving the maximum satisfiability problem (MAX-SAT) and the weighted partial MAX-SAT. It is widely known that SDP is well-suited to approximate the (MAX-)2-SAT. Our work shows the…

最优化与控制 · 数学 2023-02-15 Lennart Sinjorgo , Renata Sotirov

Simultaneously utilizing several complementary solvers is a simple yet effective strategy for solving computationally hard problems. However, manually building such solver portfolios typically requires considerable domain knowledge and…

人工智能 · 计算机科学 2018-04-18 Shengcai Liu , Ke Tang , Xin Yao

This work focuses on effectively generating diverse solutions for satisfiability modulo theories (SMT) formulas, targeting the theories of bit-vectors, arrays, and uninterpreted functions, which is a critical task in software and hardware…

软件工程 · 计算机科学 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

Previous work has shown that there are two major complexity barriers in the synthesis of fault-tolerant distributed programs: (1) generation of fault-span, the set of states reachable in the presence of faults, and (2) resolving deadlock…

分布式、并行与集群计算 · 计算机科学 2009-12-15 Fuad Abujarad , Borzoo Bonakdarpour , Sandeep S. Kulkarni

In this paper we propose the approach for constructing partitionings of hard variants of the Boolean satisfiability problem (SAT). Such partitionings can be used for solving corresponding SAT instances in parallel. For the same SAT instance…

人工智能 · 计算机科学 2015-10-23 Alexander Semenov , Oleg Zaikin

This paper describes SatIn, a hardware accelerator for determining boolean satisfiability (SAT) -- an important problem in many domains including verification, security analysis, and planning. SatIn is based on a distributed associative…

硬件体系结构 · 计算机科学 2023-03-07 Chenzhuo Zhu , Alexander C. Rucker , Yawen Wang , William J. Dally